after Arend Heyting, who first proposed it. Heyting arithmetic can be characterized just like the first-order theory of Peano arithmetic P A {\displaystyle...

Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, of intuitionistic logic was proposed by L. E. J. Brouwer and Arend Heyting, and independently...

provable in Heyting arithmetic with extended Church's thesis if and only if there is a number that provably realizes it in Heyting arithmetic; and it is...

existence properties are the "hallmarks" of constructive theories such as Heyting arithmetic and constructive set theories (Rathjen 2005). The disjunction property...

interpretation of intuitionistic logic (Heyting arithmetic) into a finite type extension of primitive recursive arithmetic, the so-called System T. It was developed...

Arend Heyting (Dutch: [ˈaːrənt ˈɦɛitɪŋ]; 9 May 1898 – 9 July 1980) was a Dutch mathematician and logician. Heyting was a student of Luitzen Egbertus Jan...

provable from the axioms of Heyting arithmetic. This result shows that if Heyting arithmetic is consistent then so is Peano arithmetic. This is because a contradictory...

Cartesian closed Heyting pretoposes with (whenever Infinity is adopted) a natural numbers object. Existence of powerset is what would turn a Heyting pretopos...

spinors) in four spacetime dimensions. Arend Heyting would introduce Heyting algebra and Heyting arithmetic. The arrow, e.g., →, was developed for function...

principle is formulated in Martin-Löf type theory. There and higher-order Heyting arithmetic, the appropriate statement of the axiom of choice is (depending on...